"Prove it"..
You prove it. You're the one making the nonsensical claim that nobody agrees with.
I, and others, already explained it. An aircraft is moving within the air and, after the aircraft takes off, the air's speed over the ground is irrelevant to the aircraft's performance metrics, excepting ground speed. In respect to the air the aircraft will be moving at the speed of its best climb rate if the aircraft is climbing at the aircraft's best rate. If that speed is 180mph the aircraft will be moving forward at 180mph in relation to the air, the aircraft's speed in relation to the ground is 100% irrelevant. It does not matter if the air is going 20mph over the ground in any direction unless the aircraft is maneuvering in relation to the ground, which in a pure climb test it is not.
If the aircraft steepens its climb and drops to an air speed of 160mph the aircraft will no longer be climbing and its best rate.